invertible Definition
- 1able to be reversed or converted into its opposite
- 2having an inverse
Using invertible: Examples
Take a moment to familiarize yourself with how "invertible" can be used in various situations through the following examples!
Example
The function is invertible if and only if it is bijective.
Example
An invertible matrix is a square matrix that has an inverse.
Example
The process is invertible, meaning that the original data can be reconstructed from the compressed data.
invertible Synonyms and Antonyms
Synonyms for invertible
Antonyms for invertible
- irreversible
- non-invertible
Phrases with invertible
a function that has a unique inverse function
Example
A function f is invertible if and only if for every y in the range of f, there is exactly one x in the domain of f such that f(x) = y.
a square matrix that has an inverse
Example
A matrix A is invertible if and only if there exists a matrix B such that AB = BA = I, where I is the identity matrix.
a process that can be reversed, meaning that the original data can be reconstructed from the compressed data
Example
The JPEG compression algorithm is an invertible process, meaning that the original image can be reconstructed from the compressed image.
Summary: invertible in Brief
'Invertible' [ɪnˈvəːtɪb(ə)l] refers to something that can be reversed or converted into its opposite. It is often used in mathematics to describe functions, matrices, and processes that have a unique inverse or can be reconstructed from compressed data. Synonyms include 'reversible,' 'convertible,' and 'reciprocal.'
